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An Asymptotics-Based Adaptive Finite Element Method for Kohn–Sham Equation Journal article
Journal of Scientific Computing, 2019,Volume: 79,Issue: 1,Page: 464–492
Authors:  Yedan Shen;  Yang Kuang;  Guanghui Hu
Favorite  |  View/Download:76/0  |  Submit date:2019/06/03
Electronic Structure Calculation  Coarsening Mesh  Kohn–sham Density Functional Theory  Adaptive Finite Element Method  Ground State Energy  
Second-order BDF time approximation for Riesz space-fractional diffusion equations Journal article
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018,Volume: 95,Issue: 1,Page: 144-158
Authors:  Liao, Hong-Lin;  Lyu, Pin;  Vong, Seakweng
Favorite  |  View/Download:16/0  |  Submit date:2018/10/30
Fractional Diffusion Equation  Riesz Space Derivative  Fractional Centred Difference  Bdf2 Formula  Discrete Energy Method  
Stability of fully discrete schemes with interpolation-type fractional formulas for distributed-order subdiffusion equations Journal article
NUMERICAL ALGORITHMS, 2017,Volume: 75,Issue: 4,Page: 845-878
Authors:  Liao, Hong-lin;  Lyu, Pin;  Vong, Seakweng;  Zhao, Ying
Favorite  |  View/Download:15/0  |  Submit date:2018/10/30
Fractional Subdiffusion Equations  Caputo Derivative  Caputo's Bdf Formulas  Minimum-maximum Principle  Discrete Energy Method  Stability And Convergence  
Finite difference schemes for two-dimensional time-space fractional differential equations Journal article
International Journal of Computer Mathematics, 2016,Volume: 93,Issue: 3,Page: 578-595
Authors:  Wang Z.;  Vong S.;  Lei S.-L.
Favorite  |  View/Download:7/0  |  Submit date:2018/12/24
Adi Scheme  Discrete Energy Method  Preconditioned Gmres Method  Two-dimensional Fractional Differential Equation  Weighted And Shifted Grünwald Difference Operator  
A Compact Difference Scheme for Fractional Sub-diffusion Equations with the Spatially Variable Coefficient Under Neumann Boundary Conditions Journal article
Journal of Scientific Computing, 2016,Volume: 66,Issue: 2,Page: 725-739
Authors:  Vong S.;  Lyu P.;  Wang Z.
Favorite  |  View/Download:4/0  |  Submit date:2018/12/24
Compact Difference Scheme  Energy Method  Fractional Sub-diffusion Equation  Neumann Boundary Conditions  Variable Coefficient  
High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives Journal article
Numerical Algorithms, 2016,Volume: 72,Issue: 1,Page: 195
Authors:  Vong S.;  Lyu P.;  Chen X.;  Lei S.-L.
Favorite  |  View/Download:10/0  |  Submit date:2018/10/30
Discrete Energy Method  High Order Difference Scheme  Preconditioned Gmres Method  Two-dimensional Fractional Differential Equation  
A compact ADI scheme for the two dimensional time fractional diffusion-wave equation in polar coordinates Journal article
Numerical Methods for Partial Differential Equations, 2015,Volume: 31,Issue: 5,Page: 1692-1712
Authors:  Vong S.;  Wang Z.
Favorite  |  View/Download:7/0  |  Submit date:2018/12/24
Alternating Direction Implicit Method  Compact Difference Scheme  Energy Method  Polar Coordinates  
A high order compact finite difference scheme for time fractional Fokker-Planck equations Journal article
Applied Mathematics Letters, 2015,Volume: 43,Page: 38-43
Authors:  Vong S.;  Wang Z.
Favorite  |  View/Download:6/0  |  Submit date:2018/12/24
Convergence  Energy Method  Fokker-planck Equation  Fractional  High Order Compact Difference Scheme  Stability  
Compact finite difference scheme for the fourth-order fractional subdiffusion system Journal article
Advances in Applied Mathematics and Mechanics, 2014,Volume: 6,Issue: 4,Page: 419-435
Authors:  Vong S.;  Wang Z.
Favorite  |  View/Download:7/0  |  Submit date:2018/12/24
Compact Difference Scheme  Convergence  Energy Method  Fourth-order Fractional Subdiffusion Equation  Stability